{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "e5ed2af9",
   "metadata": {},
   "source": [
    "# 2D Visualization in Non-default Axes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "344c5e85",
   "metadata": {},
   "outputs": [],
   "source": [
    "import optiland.backend as be\n",
    "from optiland.optic import Optic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "254d3900",
   "metadata": {},
   "outputs": [],
   "source": [
    "toroidal_lens = Optic()\n",
    "\n",
    "# add surfaces\n",
    "toroidal_lens.add_surface(index=0, radius=be.inf, thickness=be.inf)\n",
    "toroidal_lens.add_surface(\n",
    "    index=1,\n",
    "    thickness=7,\n",
    "    radius_x=30,\n",
    "    radius_y=50,\n",
    "    is_stop=True,\n",
    "    material=\"N-BK7\",\n",
    "    surface_type=\"toroidal\",\n",
    "    conic=0.0,\n",
    "    toroidal_coeffs_poly_y=[],\n",
    ")\n",
    "toroidal_lens.add_surface(index=2, thickness=65)\n",
    "toroidal_lens.add_surface(index=3)\n",
    "\n",
    "# add aperture\n",
    "toroidal_lens.set_aperture(aperture_type=\"EPD\", value=20.0)\n",
    "\n",
    "# add field\n",
    "toroidal_lens.set_field_type(field_type=\"angle\")\n",
    "toroidal_lens.add_field(y=0)\n",
    "\n",
    "# add wavelength\n",
    "toroidal_lens.add_wavelength(value=0.587, is_primary=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "01c960f8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Figure size 1000x400 with 1 Axes>, <Axes: xlabel='Z [mm]', ylabel='Y [mm]'>)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "toroidal_lens.draw(num_rays=10, projection=\"YZ\")  # default"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6000ca38",
   "metadata": {},
   "source": [
    "Plotting in the `XZ` plane shows the focusing behavior in the XZ sagittal plane."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fba5abcf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Figure size 1000x400 with 1 Axes>, <Axes: xlabel='Z [mm]', ylabel='X [mm]'>)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "toroidal_lens.draw(num_rays=10, projection=\"XZ\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "optiland (3.13.2)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
